Finding the Third Proportional to 1,296.84 and 2,798.44
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Solution
The third proportional to 1,296.84 and 2,798.44 is: 6,038.70
Step by Step Solution
- Step 1: Write the proportion equation
1,296.84 : 2,798.44 = 2,798.44 : x - Step 2: Convert to fraction form
1,296.84/2,798.44 = 2,798.44/x - Step 3: Cross multiply
1,296.84x = 2,798.44 × 2,798.44 - Step 4: Simplify right side
1,296.84x = 7,831,252.44 - Step 5: Solve for x
x = 7,831,252.44/1,296.84 - Step 6: Final answer
x = 6,038.70
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.